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Finding the Fourth Proportional to 198,624.30, 297,936.45 and 105,312.30

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Solution

The fourth proportional to 198,624.30, 297,936.45 and 105,312.30 is: 157,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,624.30 : 297,936.45 = 105,312.30 : x
  2. Step 2: Convert to fraction form
    198,624.30/297,936.45 = 105,312.30/x
  3. Step 3: Cross multiply
    198,624.30x = 297,936.45 × 105,312.30
  4. Step 4: Simplify right side
    198,624.30x = 31,376,372,803.34
  5. Step 5: Solve for x
    x = 31,376,372,803.34/198,624.30
  6. Step 6: Final answer
    x = 157,968.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.